Success TrackerSuccess Tracker
Log inSign up

GATE EC 2014 Set 1 — Question 55

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.
MCQ+2 / -0.67EasyFirst-Order Linear EquationsDifferential EquationsEngineering MathematicsDifferential & Difference EquationsLTI SystemsSignals & SystemsFirst & Second-Order ResponseTime-Domain AnalysisControl Systems

Control Systems → Differential Equations → Differential & Difference Equations

Last updated

Question

A system is described by the following differential equation, where u(t)u(t) is the input to the system and y(t)y(t) is the output of the system.y˙(t)+5y(t)=u(t)\dot{y}(t) + 5y(t) = u(t)When y(0)=1y(0) = 1 and u(t)u(t) is a unit step function, y(t)y(t) is
Your answer

Choose one option, then check your answer.

The solution stays hidden until you check.

Continue learning with Success Tracker

A step still unclear? Work through it with support

Use Success Tracker to ask about the reasoning, then try another GATE EC question to check your understanding.

AI-powered practice· Unlimited practice on eligible plans
PYQs with solutions
Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
Practice that adapts
Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
AI doubt support
Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.

Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.

Start with a free accountView plans and allowances

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.

More questions on Differential Equations

2026 Set 1 Q11Consider the differential equation w⃗˙=Aw⃗\dot{\vec{w}} = A\vec{w}, with…2026 Set 1 Q12A surface is given by z2=2x2−y2z^2 = 2x^2 - y^2 and n⃗\vec{\mathbf{n}} and −n⃗-\vec{\mathbf{n}} are unit…2026 Set 1 Q13The Laplace Transform of the signal x(t)=u(t−2)∗(tu(t))x(t) = u(t - 2) * (tu(t)) is given by which of the following…2026 Set 1 Q15Two analog signals x1(t)x_1(t) and x2(t)x_2(t) (tt in second), are sampled at a rate Fs=40F_s = 40 Hz,…2026 Set 1 Q16The response of a discrete time system y[n]y[n] obeys the following relation:…